2859035676672 has 832 divisors, whose sum is σ = 9692692070400. Its totient is φ = 730721157120.

The previous prime is 2859035676667. The next prime is 2859035676691. The reversal of 2859035676672 is 2766765309582.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2674494954 + ... + 2674496022.

Almost surely, 2^{2859035676672} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2859035676672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4846346035200).

2859035676672 is an abundant number, since it is smaller than the sum of its proper divisors (6833656393728).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2859035676672 is a wasteful number, since it uses less digits than its factorization.

2859035676672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1210 (or 1188 counting only the distinct ones).

The product of its (nonzero) digits is 228614400, while the sum is 66.

The spelling of 2859035676672 in words is "two trillion, eight hundred fifty-nine billion, thirty-five million, six hundred seventy-six thousand, six hundred seventy-two".